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Finding the Third Proportional to 176,229 and 265,977

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Solution

The third proportional to 176,229 and 265,977 is: 401,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,229 : 265,977 = 265,977 : x
  2. Step 2: Convert to fraction form
    176,229/265,977 = 265,977/x
  3. Step 3: Cross multiply
    176,229x = 265,977 × 265,977
  4. Step 4: Simplify right side
    176,229x = 70,743,764,529
  5. Step 5: Solve for x
    x = 70,743,764,529/176,229
  6. Step 6: Final answer
    x = 401,430.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.